(March 13, 2015 at 8:19 pm)SteelCurtain Wrote: I did do a project in my Orbital Mechanics class in college of a 3 body problem modeled in MATLAB.
May I wonder, did you consider a restricted problem or a general case?
It's well known that it's generally impossible to solve rigorously the Cauchy problem for three bodies, too. So you either go with five known solutions or use numerical simulation. Numerical simulation also possesses a set of serious problems. Among them is determining the periodic solutions.